1288633632 has 384 divisors, whose sum is σ = 4247147520. Its totient is φ = 336752640.

The previous prime is 1288633613. The next prime is 1288633657. The reversal of 1288633632 is 2363368821.

It is a happy number.

It is a super-3 number, since 3×1288633632³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21841219 + ... + 21841277.

It is an arithmetic number, because the mean of its divisors is an integer number (11060280).

Almost surely, 2^1288633632 is an apocalyptic number.

1288633632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288633632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123573760).

1288633632 is an abundant number, since it is smaller than the sum of its proper divisors (2958513888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1288633632 is a wasteful number, since it uses less digits than its factorization.

1288633632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 1288633632 is about 35897.5435371280. The cubic root of 1288633632 is about 1088.2027538081.

The spelling of 1288633632 in words is "one billion, two hundred eighty-eight million, six hundred thirty-three thousand, six hundred thirty-two".